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# Doc - MCQ:- Calculus, Integrals, Multiple, integrals Mathematics Notes | EduRev

## Topic-wise Tests & Solved Examples for IIT JAM Mathematics

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## Mathematics : Doc - MCQ:- Calculus, Integrals, Multiple, integrals Mathematics Notes | EduRev

The document Doc - MCQ:- Calculus, Integrals, Multiple, integrals Mathematics Notes | EduRev is a part of the Mathematics Course Topic-wise Tests & Solved Examples for IIT JAM Mathematics.
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Question:-1 Solution:
Region bounded  by
x = 0, x = 1 and y = x, y = 1
Now we evaluate the integral by hanging the order of integral  Question:-2 The value of the double integral Solution:
Region of integration is bounded  y=0, y = x and x = 0, x = π
changing the order of integration  = 2

Question:-3 Evaluate Solution:  Question4:- Change the order of integration in the double integral Solution:
Domain of integration is bounded  by the following curves point of intersection of the curve y =2 - x2 and y = -x we get when So (-1,1 ) and (2,-2 ) are the points of intersection.
Now the given integral modify by changing the order of integration we get Question5:- Changing the order of integration of     Solution: The region of integration is bounded by y = 0, y = x, x = 1, x = 2 after changing the order the integration changes to Question6:- Let D the trianle bounded by the y-axis the line 2y = π. Then the value of the integral (a) 1/2 (b) 1 (c) 3/2 (d) 2
Solution: Question7:- Change the order of integration in the integral Solution:  The domain of the double integration is bounded  by the curves y = x - 1,  Question8:- Let I = Then using the transformation x = rcosθ, y = rsinθ, integral is equal to    Solution:
Region of integration is bounded  by curves for first integral,

Question9:- Evaluate integral (a) 0 (b) 1/2 (c) 1 (d)2
Solution:
Region of integration is bounded  by curves changing the order Question 10:- The value of equals
(a) π/4 (b) 1/2π (c) 1/4 (d) 1/2
Solution: Question11:- (a) Find in the area of the smaller of the two regions enclose between  Solution:-   Solution (b)
The region of integration is bounded  by x = 0, x = y, y = 1, y = ∞ and shown in figure changing the order  Question12:- Let f , be a continuous function with Solution:
Given, be a continuous function with  Now apply change of order of integration
Domain of integration is given by graph Question13:- By changing the order of integration, the integral can be expressed as    Solution:
The domain of integration is bounded  y = 1, changing the order Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!

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